Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

326×

body

valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

8.0ms	(+ x (* (* (- y x) 6.0) z))
7.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* (* (- y x) 6.0) z))
31.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265

prune142.0ms

Filtered

71 candidates to 49 candidates (69.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (* 6.0 z) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (- y x) (* 6.0 z) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune38.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity`
12×	`associate-*l/`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `fma-def` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

4.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
13.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
8.0ms	(* (- y x) (sqrt 6.0))
11.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series554.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
184.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
71.0ms	(* (- y x) (sqrt 6.0))
107.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	352	652
1	1746	516
2	5003	497

prune217.0ms

Filtered

106 candidates to 69 candidates (65.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- y x) (* (sqrt 6.0) (fabs (cbrt 6.0))))
1.0b	(cbrt 6.0)
1.0b	(cbrt 6.0)
1.0b	(* (sqrt 6.0) (fabs (cbrt 6.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`add-cube-cbrt`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

9.0ms	(* (- y x) (* (sqrt 6.0) (fabs (cbrt 6.0))))
1.0ms	(cbrt 6.0)
1.0ms	(cbrt 6.0)
6.0ms	(* (sqrt 6.0) (fabs (cbrt 6.0)))

series141.0ms

Counts

4 → 6

Calls

4 calls:

141.0ms	(* (- y x) (* (sqrt 6.0) (fabs (cbrt 6.0))))
0.0ms	(cbrt 6.0)
0.0ms	(cbrt 6.0)
0.0ms	(* (sqrt 6.0) (fabs (cbrt 6.0)))

simplify137.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	203	461
1	807	410
2	4191	406
3	5001	404

prune232.0ms

Filtered

80 candidates to 59 candidates (73.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample444.0ms

Algorithm

intervals

Results

239.0ms

10083×

body

valid